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Finding the Fourth Proportional to 189,874.76, 284,786.14 and 49,643.24

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Solution

The fourth proportional to 189,874.76, 284,786.14 and 49,643.24 is: 74,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.76 : 284,786.14 = 49,643.24 : x
  2. Step 2: Convert to fraction form
    189,874.76/284,786.14 = 49,643.24/x
  3. Step 3: Cross multiply
    189,874.76x = 284,786.14 × 49,643.24
  4. Step 4: Simplify right side
    189,874.76x = 14,137,706,696.69
  5. Step 5: Solve for x
    x = 14,137,706,696.69/189,874.76
  6. Step 6: Final answer
    x = 74,458.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.